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Numeric simulation of the diffraction pattern of zigzag grating

Jiang Gang Zang Hua-Ping Cao Lei-Feng Wang Chuan-Ke Wei Lai Fan Wei Zhou Wei-Min Gu Yu-Qiu

Numeric simulation of the diffraction pattern of zigzag grating

Jiang Gang, Zang Hua-Ping, Cao Lei-Feng, Wang Chuan-Ke, Wei Lai, Fan Wei, Zhou Wei-Min, Gu Yu-Qiu
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  • The zigzag grating is one of the newly proposed optical dispersive elements which has an excellent diffraction characteristics and has important applications in the spectrum measurement and analysis. The simulation results of the diffraction pattern of the zigzag grating for X ray are presented using a new numerical method based on the convolution theorem, and comparison of its diffraction pattern with those of the traditional grating and sinusoidal grating are studied. It is seen from the results that all higher order diffractions of the zigzag grating are suppressed below the level of four orders of magnitude compared with the first order diffraction, which is superior to the traditional grating, being consistent with the theoretical expectations. Moreover, the impact caused by the absorber is analyzed, which eventually confirms that the zigzag grating has perfect practical application feasibility. The conclusions provide a potential alternative for the physical design of the zigzag gating, which is expected to replace the traditional transmission grating in applications to the soft X-ray spectrum measurement.
    • Funds:
    [1]

    Eidmann K, Kishimoto T 1986 Appl. Phys. Lett. 49 377

    [2]

    Chaker M, Bareau V, Kieffer J C, H Pepin, Johnston T W 1989 Rev. Sci. Instrum. 60 3386

    [3]

    Schriever G, Lebert R, Naweed A, Mager S, Neff W, Kraft S, Scholze F, Ulm G 1997 Rev. Sci. Instrum. 68 3301

    [4]

    Fill E, Stephan K H, Predehl P, Pretzler G, Eidmann K, Saemann A 1999 Rev.Sci .Instrum.70 2597

    [5]

    Weaver J L, Holland G, Feldman U, Seely J F, Brown C M, Serlin V, Deniz A V, Klapisch M 2000 Rev. Sci. Instrum. 72 108

    [6]

    Blagojevic B, Stutman D, Finkenthal M, Moos H W, Kaita R, Majeski R 2003 Rev. Sci. Instrum. 74 1988

    [7]

    Yang J M, Ding Y K, Zhang W H, Zhang J Y, Zheng Z J 2003 Rev. Sci. Instrum. 74 4268

    [8]

    Eagleton R T, James S F 2004 Rev. Sci. Instrum. 75 3969

    [9]

    Yang J M, Ding Y N, Zheng Z J, Wang Y M, Zhang W H, Zhang J Y, Liu J Y, Shan B, Gao S C, Ren Y L, Liu X Q 2003 Acta Phys. Sin. 52 1427 (in Chinese) [杨家敏、丁耀南、郑志坚、王耀梅、张文海、张继彦、刘进元、山 冰、高盛琛、任有来、刘秀琴 2003 物理学报 52 1427]

    [10]

    Liu Y Q, Zhang J, Chen Z L, Peng X Y 2004 Acta Phys. Sin. 53 1433 (in Chinese) [刘运全、张 杰、陈正林、彭晓昱 2004 物理学报53 1433]

    [11]

    Xie X H, Liu Y Q, Fan P Z, Li R X 2004 Chin. Phys. 13 1826

    [12]

    Zhao K H, Zhong X H 2004 Optics (Volume 2) (Beijing: Beijing University Press) p1—14 (in Chinese) [赵凯华、钟锡华 2004 光学(下册)(北京:北京大学出版社)第1—14页]

    [13]

    Attwood D 1999 Soft X-ray And Extreme Ultraviolet Radiation: Principles And Applications (New York: Cambridge University Press) p55

    [14]

    Cao L F, Frster E, Fuhrmann A, Wang C K , Kuang L Y , Liu S Y, Ding Y K 2007 Appl. Phys. Lett. 90 053501

    [15]

    Wang C K, Kuang L Y, Wang Z B, Liu S Y, Ding Y K, Cao L F, Foerster E, Wang D Q, Xie C Q, Ye T C 2007 Rev. Sci. Instrum. 78 053503

    [16]

    Kipp L, Skibowski M, Johnson R L, Berndt R, Adelung R, Harm S, Seemann R 2001 Nature 414 184

    [17]

    Cao L F Patent CN200410081499 (in Chinese) [曹磊峰 专利号 CN200410081499 [18] Wang C K, Kuang L Y, Wang Z B, Cao L F, Liu S Y, Ding Y K, Wang D Q, Xie C Q, Ye T C, Hu G Y 2008 Rev. Sci. Instrum. 79 123502

    [18]

    Wang C K, Kuang L Y, Wang Z B, Cao L F, Liu S Y, Ding Y K, Wang D Q, Zhu X L, Xie C Q 2008 High Power Laser And Particle Beams. 20 607 (in Chinese) [王传珂、况龙钰、王哲斌、曹磊峰、刘慎业、丁永坤、王德强、朱效立、谢常青 2008 强激光与粒子束 20 607]

    [19]

    Zhao M, Zhu X L, Chen B Q, Xie C Q , Liu M, Niu J B, Kuang L Y, Cao L F 2008 Optical.Engineering 47 058001

    [20]

    Cao L F Patent CN200610022736 (in Chinese) [曹磊峰 专利号 CN200610022736 [22] Xie C Q, Zhu X L, Jia J 2009 Acta Phys. Sin. 58 8062 (in Chinese) [谢常青、朱效立、贾 佳 2009 物理学报 58 8062]

    [21]

    Liu X, Guo J C, Niu H B Chin.Phys.B (accept)

    [22]

    Huang W X, Yuan Q X, Tian Y L, Zhu P P, Jiang X M, Wang J Y 2005 Acta Phys. Sin. 54 677 (in Chinese) [黄万霞、袁清习、田玉莲、朱佩平、姜晓明、王寯越 2005 物理学报 54 677]

    [23]

    Zhang D, Li Zheng, Huang Z F, Yu A M, Sha W 2006 Chin. Phys. 15 1731

    [24]

    Li C, Li Z, Yu A M, Li C Q 2007 Chin. Phys. 16 2319

    [25]

    Chen B, Zhu P P, Liu Y J, Wang J Y, Yuan Q X, Huang W X, Ming H, Wu Z Y 2008 Acta Phys. Sin. 57 1576 (in Chinese) [陈 博、朱佩平、刘宜晋、王寯越、袁清习、黄万霞、明 海、吴自玉 2008 物理学报 57 1576]

    [26]

    Zhu W Z, Wu Y Q, Guo Z, Zhu X L, Ma J, Xie C Q, Shi P X, Zhou H J, Huo T L, Tai R Z, Xu H J 2008 Acta Phys. Sin. 57 6386 (in Chinese) [朱伟忠、吴衍青、郭 智、朱效立、马 杰、谢常青、史沛熊、周洪军、霍同林、邰仁忠、徐洪杰 2008 物理学报 57 6386]

  • [1]

    Eidmann K, Kishimoto T 1986 Appl. Phys. Lett. 49 377

    [2]

    Chaker M, Bareau V, Kieffer J C, H Pepin, Johnston T W 1989 Rev. Sci. Instrum. 60 3386

    [3]

    Schriever G, Lebert R, Naweed A, Mager S, Neff W, Kraft S, Scholze F, Ulm G 1997 Rev. Sci. Instrum. 68 3301

    [4]

    Fill E, Stephan K H, Predehl P, Pretzler G, Eidmann K, Saemann A 1999 Rev.Sci .Instrum.70 2597

    [5]

    Weaver J L, Holland G, Feldman U, Seely J F, Brown C M, Serlin V, Deniz A V, Klapisch M 2000 Rev. Sci. Instrum. 72 108

    [6]

    Blagojevic B, Stutman D, Finkenthal M, Moos H W, Kaita R, Majeski R 2003 Rev. Sci. Instrum. 74 1988

    [7]

    Yang J M, Ding Y K, Zhang W H, Zhang J Y, Zheng Z J 2003 Rev. Sci. Instrum. 74 4268

    [8]

    Eagleton R T, James S F 2004 Rev. Sci. Instrum. 75 3969

    [9]

    Yang J M, Ding Y N, Zheng Z J, Wang Y M, Zhang W H, Zhang J Y, Liu J Y, Shan B, Gao S C, Ren Y L, Liu X Q 2003 Acta Phys. Sin. 52 1427 (in Chinese) [杨家敏、丁耀南、郑志坚、王耀梅、张文海、张继彦、刘进元、山 冰、高盛琛、任有来、刘秀琴 2003 物理学报 52 1427]

    [10]

    Liu Y Q, Zhang J, Chen Z L, Peng X Y 2004 Acta Phys. Sin. 53 1433 (in Chinese) [刘运全、张 杰、陈正林、彭晓昱 2004 物理学报53 1433]

    [11]

    Xie X H, Liu Y Q, Fan P Z, Li R X 2004 Chin. Phys. 13 1826

    [12]

    Zhao K H, Zhong X H 2004 Optics (Volume 2) (Beijing: Beijing University Press) p1—14 (in Chinese) [赵凯华、钟锡华 2004 光学(下册)(北京:北京大学出版社)第1—14页]

    [13]

    Attwood D 1999 Soft X-ray And Extreme Ultraviolet Radiation: Principles And Applications (New York: Cambridge University Press) p55

    [14]

    Cao L F, Frster E, Fuhrmann A, Wang C K , Kuang L Y , Liu S Y, Ding Y K 2007 Appl. Phys. Lett. 90 053501

    [15]

    Wang C K, Kuang L Y, Wang Z B, Liu S Y, Ding Y K, Cao L F, Foerster E, Wang D Q, Xie C Q, Ye T C 2007 Rev. Sci. Instrum. 78 053503

    [16]

    Kipp L, Skibowski M, Johnson R L, Berndt R, Adelung R, Harm S, Seemann R 2001 Nature 414 184

    [17]

    Cao L F Patent CN200410081499 (in Chinese) [曹磊峰 专利号 CN200410081499 [18] Wang C K, Kuang L Y, Wang Z B, Cao L F, Liu S Y, Ding Y K, Wang D Q, Xie C Q, Ye T C, Hu G Y 2008 Rev. Sci. Instrum. 79 123502

    [18]

    Wang C K, Kuang L Y, Wang Z B, Cao L F, Liu S Y, Ding Y K, Wang D Q, Zhu X L, Xie C Q 2008 High Power Laser And Particle Beams. 20 607 (in Chinese) [王传珂、况龙钰、王哲斌、曹磊峰、刘慎业、丁永坤、王德强、朱效立、谢常青 2008 强激光与粒子束 20 607]

    [19]

    Zhao M, Zhu X L, Chen B Q, Xie C Q , Liu M, Niu J B, Kuang L Y, Cao L F 2008 Optical.Engineering 47 058001

    [20]

    Cao L F Patent CN200610022736 (in Chinese) [曹磊峰 专利号 CN200610022736 [22] Xie C Q, Zhu X L, Jia J 2009 Acta Phys. Sin. 58 8062 (in Chinese) [谢常青、朱效立、贾 佳 2009 物理学报 58 8062]

    [21]

    Liu X, Guo J C, Niu H B Chin.Phys.B (accept)

    [22]

    Huang W X, Yuan Q X, Tian Y L, Zhu P P, Jiang X M, Wang J Y 2005 Acta Phys. Sin. 54 677 (in Chinese) [黄万霞、袁清习、田玉莲、朱佩平、姜晓明、王寯越 2005 物理学报 54 677]

    [23]

    Zhang D, Li Zheng, Huang Z F, Yu A M, Sha W 2006 Chin. Phys. 15 1731

    [24]

    Li C, Li Z, Yu A M, Li C Q 2007 Chin. Phys. 16 2319

    [25]

    Chen B, Zhu P P, Liu Y J, Wang J Y, Yuan Q X, Huang W X, Ming H, Wu Z Y 2008 Acta Phys. Sin. 57 1576 (in Chinese) [陈 博、朱佩平、刘宜晋、王寯越、袁清习、黄万霞、明 海、吴自玉 2008 物理学报 57 1576]

    [26]

    Zhu W Z, Wu Y Q, Guo Z, Zhu X L, Ma J, Xie C Q, Shi P X, Zhou H J, Huo T L, Tai R Z, Xu H J 2008 Acta Phys. Sin. 57 6386 (in Chinese) [朱伟忠、吴衍青、郭 智、朱效立、马 杰、谢常青、史沛熊、周洪军、霍同林、邰仁忠、徐洪杰 2008 物理学报 57 6386]

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  • Received Date:  28 April 2010
  • Accepted Date:  23 May 2010
  • Published Online:  15 March 2011

Numeric simulation of the diffraction pattern of zigzag grating

  • 1. (1)Institute of Atomic and Molecular Physics, Sichuan University, Chengdu 610065, China; (2)National Key Laboratory of High-temperature and High-density Plasma Physics, Research Center of Laser Fusion, China Academy of Engineering Physics, Mianyang 621900, China

Abstract: The zigzag grating is one of the newly proposed optical dispersive elements which has an excellent diffraction characteristics and has important applications in the spectrum measurement and analysis. The simulation results of the diffraction pattern of the zigzag grating for X ray are presented using a new numerical method based on the convolution theorem, and comparison of its diffraction pattern with those of the traditional grating and sinusoidal grating are studied. It is seen from the results that all higher order diffractions of the zigzag grating are suppressed below the level of four orders of magnitude compared with the first order diffraction, which is superior to the traditional grating, being consistent with the theoretical expectations. Moreover, the impact caused by the absorber is analyzed, which eventually confirms that the zigzag grating has perfect practical application feasibility. The conclusions provide a potential alternative for the physical design of the zigzag gating, which is expected to replace the traditional transmission grating in applications to the soft X-ray spectrum measurement.

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